Respuesta :

LynxVillicana

Answer:

Part A - The answer is C

Part B - a.true, b.true, c.false, d.true.

Step-by-step explanation:

Part A

The slope shown on the table is -60 because the table shows that after each hour, the Gallons of Water decrease by 60.

Part B

a. The slope is -60 not -600, this was established on Part A.

b. We start off with 600 gallons of water. The equation is y = 600 - 60x. If we input 7 as x, we get 600 - 420 which is 180.

c. The initial value was 600, -60 is the slope.

d. As mentioned in b. of part B.

MrRoyal

A linear function changes by a constant rate.

  • The slope is -60, and it represents the rate at which the amount of water changes hourly.
  • The true statements are (b) and (d)
  • The false statements are (a) and (c)

Two points on the table are given as:

[tex](x,y) = (0,600)\ (1,540)[/tex]

The slope (m) of the points is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{540 - 600}{1-0}[/tex]

[tex]m = \frac{- 60}{1}[/tex]

[tex]m = - 60[/tex]

So, the slope is -60, and it represents the rate at which the amount of water changes hourly.

The function of the table is represented as:

[tex]y = -60x + 600[/tex]

So:

(a) is false, because the slope is -60

(b) is true, because y = 180 when x = 7

(c) is false, because the initial value is 600

(d) is true

Read more about linear functions at:

https://brainly.com/question/15602982

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